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A method to obtain all-order asymptotic results for the coefficients of perturbative expansions in zero-dimensional quantum field is described.
Divergence of perturbation theory in quantum electrodynamics
FJ Dyson · 1952
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The enumeration of graphs in the Feynman-Dyson technique
CA Hurst · 1952
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Quantum electrodynamics at small distances
Murray Gell-Mann and Francis E Low · 1954
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S Weinberg · 1960
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New method for calculating the one-particle Green’s function with application to the electron-gas problem
L Hedin · 1965
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EM Wright · 1970
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Asymptotic expansions: their derivation and interpretation , volume 48
RB Dingle · 1973
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B Lautrup · 1977
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Divergence of the perturbation theory series and the quasiclassical theory
LN Lipatov · 1977
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Asymptotic graph counting techniques in ψ 2 N \psi^{2N} field theory
CM Bender and WE Caswell · 1978
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Number and weights of Feynman diagrams
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A Zichichi · 1979
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Les fonctions résurgentes
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Perturbative series and the moduli space of Riemann surfaces
RC Penner · 1988
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Hyperasymptotics for integrals with saddles
MV Berry and CJ Howls · 1991
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H Goldberg and MT Vaughn · 1991
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RB Paris · 1992
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GV Dunne and M Ünsal · 2012
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DJ Broadhurst · 1999
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EN Argyres, AFW van Hameren, RHP Kleiss, and CG Papadopoulos · 2001
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Resurgence theory, ghost-instantons, and analytic continuation of path integrals
G Basar, GV Dunne, and M Ünsal · 2013
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C Banderier and M Drmota · 2015
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DM Jackson, A Kempf, and AH Morales · 2016
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